Bottle Rocket Velocity: Constant Force, Increasing Rate

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SUMMARY

The discussion centers on the physics of bottle rocket propulsion, specifically how a constant force results in an increasing rate of velocity change. The key factor is the decreasing mass of the rocket as the black powder burns, which leads to an increase in acceleration according to Newton's second law (F=ma). As the mass decreases while the force remains constant, the acceleration—and thus the rate of change in velocity—increases. This principle is crucial for understanding the dynamics of rocket motion.

PREREQUISITES
  • Newton's Second Law of Motion
  • Basic principles of rocket propulsion
  • Understanding of mass and acceleration relationships
  • Concept of exhaust gases in propulsion systems
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Students of physics, aerospace engineers, and anyone interested in the mechanics of propulsion systems will benefit from this discussion.

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Homework Statement

A bottle rocket is launched in the air. The black powder, which propels it, burns leaving an exhaust trail mainly consisting of CO2 gas. If the force propelling the rocket is constant, the rate of change in its velocity INCREASES.

Can someone please explain why the change in its velocity increases. I was thinking since the force propelling the rocket is constant the rate of change in its velocity is ZERO. ?



Homework Equations





The Attempt at a Solution

 
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The black powder burns out so the mass of the whole rocket decreases. ehild
 
The black powder burns out so the mass of the whole rocket decreases.


ehild
 

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